Rate-dependent nonlinear constitutive equation of polypropylene

1989 ◽  
Vol 27 (1) ◽  
pp. 85-95 ◽  
Author(s):  
Masayoshi Kitagawa ◽  
Tatsuya Mori ◽  
Tomohiko Matsutani
Keyword(s):  
Constitutive Equation ◽  
Rate Dependent ◽  
Nonlinear Constitutive Equation

A State Variable Interpretation of Some Rate-Dependent Inelastic Properties of Steel

1978 ◽  
Vol 100 (4) ◽  
pp. 395-401 ◽  
Author(s):  
B. Larsson ◽  
B. Stora˚kers
Keyword(s):  
Stainless Steel ◽  
Elevated Temperature ◽  
Constitutive Equation ◽  
Physical Theory ◽  
Creep Tests ◽  
Variable Theory ◽  
One Dimensional ◽  
State Variable ◽  
Rate Dependent ◽  
Stress States

Based on a state variable theory proposed by Onat some discriminating creep tests of stainless steel have been designed and carried out at elevated temperature conditions. Quantitative correlations of the results are sought with predictions from a physical theory for recovery creep proposed by Lagneborg. The findings are utilized to interpret the behavior of creeping members when subjected to a rapid increase in the rate of straining. Different approaches toward generalization of physical one-dimensional creep laws to multiaxial stress states are discussed. A tentative constitutive equation applicable to the solution of general boundary value problems is proposed.

A rate-dependent constitutive equation for 5052 aluminum diaphragms

2014 ◽  
Vol 60 ◽  
pp. 13-20 ◽  
Author(s):  
S.A. Hosseini Kordkheili ◽  
M.M. Ashrafian ◽  
H. Toozandehjani
Keyword(s):  
Constitutive Equation ◽  
Rate Dependent

FEM-implementation of practical rate-dependent inelastic constitutive equation

2002 ◽  
Vol 2002.51 (0) ◽  
pp. 373-374
Author(s):  
Tomofumi ISHIKAWA ◽  
Mineo KOBAYASHI ◽  
Nobutada OHNO ◽  
Hiroyuki TAKAHASHI ◽  
Minoru MUKAI ◽  
...  
Keyword(s):  
Constitutive Equation ◽  
Rate Dependent

Power-Formula Viscoplasticity, Its Modification and Some Applications

1984 ◽  
Vol 106 (4) ◽  
pp. 383-387 ◽  
Author(s):  
Yu Chen
Keyword(s):  
Constitutive Equation ◽  
Strain Rate ◽  
Boundary Value Problems ◽  
Physical Phenomenon ◽  
Boundary Value ◽  
The Body ◽  
Dislocation Dynamics ◽  
Basic Relation ◽  
Mathematical Form ◽  
Rate Dependent

A power viscoplastic constitutive equation was first proposed by Bodner and Partom in 1972. This specific formula has its origin in the physical phenomenon of dislocation dynamics and due to the simplicity of its mathematical form, it is a useful constitutive equation in solving boundary value problems. In this paper a brief review of the basic relation is given, followed by discussion of some relatively less known features of this formula. The body of the paper deals with the modification of the equation to explore its potential in several directions. The first modification consists of making the “threshold stress” strain rate dependent. The second modification aims of modeling strain rate history dependency. Due to space the formulation of the boundary value problems of uniaxial testing and its implementation through finite element programs will not be reported here. Results demonstrating the effect of strain rate and strain-rate history are presented. They are in good qualitative agreement with available experimental data.

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